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50466080 = 2557241157
BaseRepresentation
bin1100000010000…
…0110100100000
310111221221110002
43000200310200
5100404403310
65001355132
71151645300
oct300406440
9114857402
1050466080
1126539a05
1214a98aa8
13a5bc5b2
1469b9600
15466cda5
hex3020d20

50466080 has 144 divisors (see below), whose sum is σ = 142979256. Its totient is φ = 16773120.

The previous prime is 50466043. The next prime is 50466107. The reversal of 50466080 is 8066405.

It can be written as a sum of positive squares in 4 ways, for example, as 21864976 + 28601104 = 4676^2 + 5348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321362 + ... + 321518.

Almost surely, 250466080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71489628).

50466080 is an abundant number, since it is smaller than the sum of its proper divisors (92513176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50466080 is a wasteful number, since it uses less digits than its factorization.

50466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 50466080 is about 7103.9481980093. The cubic root of 50466080 is about 369.5443136183.

The spelling of 50466080 in words is "fifty million, four hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 157 160 164 196 205 224 245 280 287 314 328 392 410 490 560 574 628 656 784 785 820 980 1099 1120 1148 1256 1312 1435 1568 1570 1640 1960 2009 2198 2296 2512 2870 3140 3280 3920 4018 4396 4592 5024 5495 5740 6280 6437 6560 7693 7840 8036 8792 9184 10045 10990 11480 12560 12874 15386 16072 17584 20090 21980 22960 25120 25748 30772 32144 32185 35168 38465 40180 43960 45059 45920 51496 61544 64288 64370 76930 80360 87920 90118 102992 123088 128740 153860 160720 175840 180236 205984 225295 246176 257480 307720 315413 321440 360472 450590 514960 615440 630826 720944 901180 1029920 1230880 1261652 1441888 1577065 1802360 2523304 3154130 3604720 5046608 6308260 7209440 10093216 12616520 25233040 50466080